CAT 2018 Question Paper Shift 1 Solved Paper

Question : 83 of 100

Marks: +1, -0

The number of integers x such that

0.25 < 2^x < 200,

and

2^x +2

is perfectly divisible by either 3 or 4, is

Solution:

0.25 ≤ 2^{x} ≤ 200

Possible values of

x

satisfying the above inequality are

-2,-1,0,1,2,3,4,5,6,7

When

{x}=0,1,2,4

and

6,2^{x}+2

is divisible by 3 or 4
The number of values of

{x}

is 5

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